Question

Is this function differentiable at all points?
z= abs(x) +abs (y)
u need to find the partial derivatives

Answer 1

no
Wolfram it
partial derivatives should be used

Answer 2

ohhh right i forgot thanks

Answer 3

well its differentiable at some points no?

Answer 4

like the answer is that its not differentiable at all

Answer 5

but like it has its partial derivatives

Answer 6

z=x+y x>0 & y>0 gradient:: <1,1>
z=x-y x>0 & y<0 gradient:: <1,-1>

hence it is dis continuous as gradient changes abruptly